Atkin-Lehner |
2- 3- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310bn |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
608000 |
Modular degree for the optimal curve |
Δ |
-8079894978232320 = -1 · 225 · 37 · 5 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3577,4323071] |
[a1,a2,a3,a4,a6] |
Generators |
[291:5326:1] |
Generators of the group modulo torsion |
j |
6944913230039/11083532206080 |
j-invariant |
L |
10.000027010066 |
L(r)(E,1)/r! |
Ω |
0.32500674056669 |
Real period |
R |
0.30768675764653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34770l1 |
Quadratic twists by: -3 |